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Ideas for
'Defending the Axioms', 'unfinished dialogue' and 'fragments/reports'
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7 ideas
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620
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Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605
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Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
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17625
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If two mathematical themes coincide, that suggest a single deep truth [Maddy]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
1507
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We don't have time for infinite quantity, but we do for infinite divisibility, because time is also divisible [Aristotle on Zeno of Elea]
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5109
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The fast runner must always reach the point from which the slower runner started [Zeno of Elea, by Aristotle]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
1512
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Zeno is wrong that one grain of millet makes a sound; why should one grain achieve what the whole bushel does? [Aristotle on Zeno of Elea]
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5. Theory of Logic / L. Paradox / 7. Paradoxes of Time
1508
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Zeno's arrow paradox depends on the assumption that time is composed of nows [Aristotle on Zeno of Elea]
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